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3 years ago

Segment HK is 24 inches long.

Mathematics

1 answer:

Sunny_sXe [5.5K]3 years ago

6 0

The longitude of segment HL is 12 inches because its the half of segment HK which is 24.

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Marty is taking piano lessons. She is going to practice every afternoon. The 1st week she practiced for 11 minutes each day. The

defon

Answer:

$m=7w+4$

Step-by-step explanation:

Linear Modeling

It consist is setting up a linear relationship between two variables, given some experimental data. Only 2 points are needed to set up the equation of a line, but if more than 2 points are used, then the result should use statistical approaches like linear regression to find the best-fit line.

For the question at hand, Marty practices his piano lessons 11 minutes the week #1. It provides the first point (1,11). He practices 25 minutes per day on the third week. It gives us another point (3,25). This is enough to find the equation of a line. The general formula for a line, having two points (m1,w1) (m2,w2) is

$\displaystyle m-m_1=\frac{m_2-m_1}{w_2-w_1}(w-w_1)$

Let's plug in our values

$\displaystyle m-11=\frac{25-11}{3-1}(w-1)$

Simplifying:

$m-11=7w-7$

$\boxed{m=7w+4}$

3 0

4 years ago

Discrete Mathematics I

faust18 [17]

ANSWER

The general solution is $86+280n$ , where $n$ is an integer

EXPLANATION

In order to solve the linear congruence;

$33x \equiv 38(mod\:280)$

We need to determine the inverse of $33$ (which is a Bézout coefficient for 33).

To do that we must first use the Euclidean Algorithm to verify the existence of the inverse by showing that;

$gcd(33,\:280)=1$

Now, here we go;

$280=8\times33+16$

$33=2\times 16+1$

$16=2\times 8+0$

The greatest common divisor is the last remainder before the remainder of zero.

Hence, the $gcd(33,\:280)=1$ .

We now express this gcd of 1 as a linear combination of 33 and 280.

We can achieve this by making all the non zero remainders the subject and making a backward substitution.

$1=33-2\times 16--(1)$

$16=280-33\times8--(2)$

Equation (2) in equation (1) gives,

$1=33-2\times (280-8\times33)$

$1=33-2\times 280+16\times33$

$1=17\times33-2\times 280$

The above linear combination tells us that $17$ is the inverse of $33$ .

Now we multiply both sides of our congruence relation by $17$ .

$17\times 33x \equiv 17\times 38(mod\:280)$

This implies that;

$x \equiv 646(mod\:280)$

$x \equiv 86$ .

Since this is modulo, the solution is not unique because any integral addition or subtraction of the modulo (280 in this case) produces an equivalent solution.

Therefore the general solution is,

$86+280n$ , where $n$ is an integer

6 0

4 years ago

Read 2 more answers

How do you solve the question solve for n 1/3 n = 6

timofeeve [1]

Answer:

$n = 18 \\$